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How many kilograms of sugar costing Rs.50 per kg should be mixed with 30kg of sugar costing Rs.45 per kg so that the mixture is worth Rs.48 per kg?

1. 50kg
2. 48kg
3. 45kg
4. 42kg

45 प्रति किग्रा. कीमत वाली 30 किग्रा, चिनी में 50 प्रति किग्रा, चीनी मिश्रित की जाए कि मिश्रण की किमत 48 प्रति किग्रा, हो जाए?

1. 50 किग्रा
2. 48 किग्रा
3. 45 किग्रा
4. 42 किग्रा
This Question came in
UGC-NET-Geography-19-June-2023-Shift-2-Q8
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Detailed Explanation & Answer
Given.
30 kg sugar for 45rs/kg is taken
Then, Total price of 45rs/ks sugar = 45 x 30 = 1350 - (i)

Suppose,
S kg sugar costing 50rs/kg to be taken
Then, Total price of 50rs/ks sugar = 50 x S - (ii)

Total price of the mixture = 1350 + 50S
Given, mixture rate = 48 rs/kg
Total mixture quantity = 30+S

It means,
Total Mixture price / Total Mixture quantity = perkg mixture price
(1350 + 50S)/30+S = 48
S = 45
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